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Master's Dissertation
DOI
https://doi.org/10.11606/D.18.2012.tde-03052012-155115
Document
Author
Full name
Guilherme Barbosa Lopes Junior
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2012
Supervisor
Committee
Schulz, Harry Edmar (President)
Freire, José Teixeira
Rodriguez, Oscar Maurício Hernandez
Title in Portuguese
Organização de equações estatísticas para transferência de massa em processos turbulentos
Keywords in Portuguese
Abordagem a priori
Condições de contorno
Escoamento turbulento
Problema de fechamento
Abstract in Portuguese
Em mecânica dos fluidos, especificamente em processos turbulentos, o problema de fechamento representa um dos maiores desafios para qualquer pessoa interessada nesta área. Durante décadas, cientistas vêm usando abordagens estatísticas com o objetivo de "fechar" o problema ou, pelo menos, diminuir as dificuldades inerentes. Assim, o presente trabalho apresenta uma criteriosa análise com base em ferramentas estatísticas em que ondas quadradas aleatórias, aliadas a um número fixo de parâmetros, foram utilizadas para criar equações paramétricas para representar um fluxo turbulento unidimensional com uma abordagem a priori, diferenciando de outras abordagens aplicadas amplamente na área, que utilizam uma abordagem a posteriori. Em seguida, simulações foram realizadas, a fim de avaliar o comportamento do modelo. Nas simulações pôde-se reproduzir o comportamento observado na literatura e estipular a abrangência do método. Além disso, uma importante discussão acerca das condições de contorno foi desenvolvida.
Title in English
Organization of statistical equations for mass transfer processes in turbulent
Keywords in English
A priori approach
Boundary conditions
Closure problem
Turbulent flow
Abstract in English
In fluid mechanics, specifically in turbulent processes, the closure problem represents one of the biggest challenges for anyone interested in this area. For decades, scientists have been using statistical approaches aiming to close the problem or, at least, decrease the inherent difficulties. So, the present project presents a judicious analyze based on statistical tools in which random square waves, allied with a fixed numbers of parameters, were used to create parametric equations to represent a turbulent flow with an a priori approach, differentiating from other approaches broadly applied in the area, which use an a posteriori approach. Then simulations were done, in order to evaluate the behavior of the model. In the simulations, the behavior of some data from the literature could be followed and the scope of the method was stipulated. Besides this, an important discussion about boundary conditions was developed.
 
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Publishing Date
2012-05-11
 
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